Center mass/angular velocity vector

In summary, the problem involves a baton-like figure with a weight of M at point (0,A) and a weight of 2M at the origin. The 2M weight has a velocity V towards the positive x-axis. The goal is to locate the mass M with respect to time T. The question is asking for the coordinates of the mass M at time T, with no external forces acting on the system.
  • #1
iknowu99
2
0

Homework Statement



baton like figure - weight at (0,A) that has a mass M, second weight at origin (0,0) with weight 2M. These are the end points of the baton and that is it for this baton weight/location. The 2M weight has a velocity V towards the positive x axis. The goal is to locate the M mass with respect to time T.


Homework Equations


not sure...


The Attempt at a Solution


not sure...i think it spins in one spot... the top mass might have a velocity twice as fast...but not sure about this either...since no force then the center of mass located at (0,a/3) will stay there..but that's all i have...
 
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  • #2
Welcome to PF!

iknowu99 said:

Homework Statement



baton like figure - weight at (0,A) that has a mass M, second weight at origin (0,0) with weight 2M. These are the end points of the baton and that is it for this baton weight/location. The 2M weight has a velocity V towards the positive x axis. The goal is to locate the M mass with respect to time T.

Hi iknowu99! Welcome to PF! :smile:

Can you give us the full question?

We need to know how this happened … for example, was there a sudden force along the x-axis hitting the 2M? :confused:
 
  • #3
that's what i thought at first but there is no force applied. the question is: provide the X,Y at time T for the mass M.
 

1. What is center mass?

Center mass, also known as center of mass, is a point in a system or object where the mass is evenly distributed in all directions. It is the point where the object can be balanced and has no net torque acting on it.

2. How is center mass calculated?

Center mass is calculated by taking the sum of the mass of each individual particle in a system and multiplying it by its respective distance from a chosen reference point. This value is then divided by the total mass of the system.

3. What is angular velocity vector?

Angular velocity vector is a measure of the rate of change of angular displacement, which is the angle an object rotates through in a certain amount of time. It is a vector quantity, meaning it has both magnitude and direction.

4. How is angular velocity vector related to center mass?

Angular velocity vector and center mass are related because the center mass is the point where the angular velocity vector is directed. This means that the object rotates around its center mass with a constant angular velocity.

5. What factors affect the center mass/angular velocity vector?

The center mass and angular velocity vector can be affected by various factors such as the distribution of mass, the shape and size of the object, and external forces acting on the object. Any changes in these factors can alter the location of the center mass and the magnitude and direction of the angular velocity vector.

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